32 citations · 47 across the 10 of their papers we have counts for
7 papers · 1 filter
Cartan-Schouten metrics for information geometry and machine learning
Andre Diatta, Bakary Manga, Fatimata Sy
We study Cartan-Schouten metrics, explore invariant dual connections, and propose them as models for Information Geometry. Based on the underlying Riemannian barycenter and the bii…
On dual quaternions, dual split quaternions and Cartan-Schouten metrics on perfect Lie groups
Andre Diatta, Bakary Manga, Fatimata Sy
We discuss Cartan-Schouten metrics (Riemannian or pseudo-Riemannian metrics that are parallel with respect to the Cartan-Schouten canonical connection) on perfect Lie groups. Appli…
On the classification of 2-solvable Frobenius Lie algebras
Andre Diatta, Bakary Manga, Ameth Mbaye
We discuss the classification of 2-solvable Frobenius Lie algebras. We prove that every 2-solvable Frobenius Lie algebra splits as a semidirect sum of an n-dimensional vector space…
On the Geometry of Cotangent Bundles of Lie Groups
Bakary Manga
Lie groups of automorphisms of cotangent bundles of Lie groups are completely characterized and interesting results are obtained. We give prominence to the fact that the Lie groups…
Point and Potential Symmetries of the Fokker-Planck Equation
Faya Doumbo Kamano, Bakary Manga, Joël Tossa
We determine the Lie point symmetries of the Fokker-Planck equation and provide examples of solutions of this equation. The Fokker-Planck equation admits a conserved form, hence th…
On properties of principal elements of Frobenius Lie algebras
Andre Diatta, Bakary Manga
We investigate the properties of principal elements of Frobenius Lie algebras, following the work of M. Gerstenhaber and A. Giaquinto. We prove that any Lie algebra with a left sym…
Automorphisms of cotangent bundles of Lie groups
Andre Diatta, Bakary Manga
Let G be a Lie group, its cotangent bundle with its natural Lie group structure obtained by performing a left trivialization of T^*G and endowing the resulting trivial bundl…